Question

I need some help with this problem.

Answer 1

A theme park company is opening a marine-inspired park in your city. They are in the process of designing the theatre where a killer whale show will take place. The following design is already under construction and will house the whales that perform in the show:

Answer 2

Main Show Tank Calculation:

The main tank has a radius of 70 feet. What is the volume of the quarter-sphered sized tank? Round your answer to the nearest whole number. You must explain your answer using words, and you must show all work and calculations to receive credit.
Holding Tank Calculations:

The holding tanks are congruent in size, and both are in the shape of a cylinder that has been cut in half vertically. The bottom of the tank is a curved surface. What is the volume of both tanks if the radius of tank #1 is 15 feet and the height of tank #2 is 120 feet? You must explain your answer using words, and you must show all work and calculations to receive credit.
Density Calculation:

In step 1, you found the volume (in cubic feet) of the main tank. If the maximum density of killer whales per cubic foot is 0.000011142, what is the maximum number of killer whales allowed in the main show tank at any given time? You must explain your answer using words, and you must show all work and calculations to receive credit.

Answer 3

the volume of the combined Holding tank #1 and #2 is 84,780ft^3
Holding tank 1 and 2 are congruent meaning that the radius of holding tank 1 is 15ft and the height is 120ft

the main tank has a radius of 70ft, it is also a quater sphere.
the volume of this main tank is 359,006.6665ft^3

for the third and final step i used \[\frac{ .000011142 }{ 1 } = \frac{ x }{ 359,007ft^3}\]

Answer 4

Im lost on how to find how many whales can fit into the volume of the main tank given that the whale density is .000011142

Answer 5

volume of quarter shaped tank
\[=\frac{ 4 }{ 3 } \pi~r^3=\frac{ 4 }{ 3 }~\pi~*70^3=?\]

Answer 6

this is what i used for the quarter shaped tank ; main tank. \[V = 4/3(3.14)(70ft^3) and finally i multiplied by 1/4 since \it is a quarteror alternately V=4/3(π)(r^3)\]

Answer 7

correction volume of quarter tank is 1/4 of above calculated.

Answer 8

you are correct.

Answer 9

So how do i calculate the ammount of whales which can be in the main tank at one given time at maximum per our calculations?

Answer 10

divide the volume above calculated by 0.000011142

Answer 11

ok so \[\frac{ 359007ft^3 }{ .000011142 }\]

Answer 12

?

Answer 13

:L i get 32221055465.8 of what though???

Answer 14

i think we should multiply the volume by density and then round it to whole numbers.

Answer 15

alright thanks.

Answer 16

yw